Question

Triangles ABC and XYZ are similar figures, because angles A, B, and C are congruent to angles X, Y, and Z, respectively,

If side AC equals 3 cm, BC equals 9 cm, and XZ equals 18 cm, what is the length of side YZ?

Answer 1

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Step-by-step explanation:

Answer 2

In similar figures, corresponding sides are proportional. Using this information, we can set up a proportion to find the length of side YZ.

Step-by-step explanation:

In similar figures, corresponding sides are proportional. Since triangles ABC and XYZ are similar, we can set up a proportion to find the length of side YZ. The ratio of corresponding sides AC to XZ is equal to the ratio of corresponding sides BC to YZ.

Using this proportion, we can solve for YZ:

AC/XZ = BC/YZ

Substituting the given values:

3/18 = 9/YZ

Cross-multiplying:

3(YZ) = 18(9)

YZ = 54/3 = 18 cm

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